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Irina-Kira [14]
3 years ago
10

In ΔEFG, the measure of ∠G=90°, FG = 1.5 feet, and EF = 7.5 feet. Find the measure of ∠F to the nearest degree.

Mathematics
2 answers:
fomenos3 years ago
8 0

Answer:

  78°

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the relations between angles and sides of a right triangle. In particular, ...

  Cos = Adjacent/Hypotenuse

  cos(F) = FG/FE = 1.5/7.5 = 0.2

The inverse cosine function is used to find the angle:

  ∠F = arccos(0.2)

  ∠F ≈ 78°

Artemon [7]3 years ago
8 0

Answer:

78

Step-by-step explanation:

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Nimfa-mama [501]

Step-by-step explanation:

if x=1/4 then y=1/4-1/4=0

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7 0
3 years ago
Kelly needs to order lunch for orders 6 people at a business meeting. Her menu choices are chicken salad for a cost of $5 per pe
nirvana33 [79]
Ok , with that information we can write the equations
x + y = 6
5x + 4y = 28

Where x = how many people ordered chicken
and y = how many people ordered egg salad

Through elimination , we can set one of the variables in both equations equal so we can eliminate it :

(4)x + (4)y = (4)6
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4x + 4y = 24. equation 1
5x + 4y = 28. equation 2

Now we can subtract the second equation by the first equation and isolate one variable:
equation 2 - equation 1

5x - 4x + 4y - 4y = 28 - 24

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Now that we discovered our x value ( How many people ordered chicken salad ) , we can apply it to one of the equations and discover y ( how many people ordered egg salad)

x + y = 6
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We can shift 4 to the other side of the equation by subtracting 4 from both sides of the equation:
4 - 4 + y = 6 - 4
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So the awnser is :
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I hope you understood my brief explanation!!

p.s if you want to know how to use another method to solve these problems ( Substition) , just let me know in a comentary down here
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Tcecarenko [31]
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3 years ago
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Ne4ueva [31]

Answer:

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Step-by-step explanation:

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